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Nataliya [291]
4 years ago
9

Nth Term: How do you work out these 3?

Mathematics
1 answer:
Vera_Pavlovna [14]4 years ago
8 0

Question 3:

50-3n=5

therefore,

50-5=3n

45=3n

n=45/3

n=15

The 15th term of the sequence has a value of 5.

sorry i am not sure about the rest, i am new to this topic and have just started learning it.

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Complete the statement , if a transversal intersects two parallel lines ___
Nana76 [90]
<span>If a transversal intersects two parallel lines, then <span>alternate interior angles are congruent

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7 0
4 years ago
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to
Zepler [3.9K]

Step-by-step explanation:

We know that,

Z=\dfrac{X-\mu}{\sigma}

Where,

X = raw score = 84

μ = mean = 68

σ = standard deviation = 10

Putting the values,

Z=\dfrac{84-68}{10}=1.6

The percent of his sales that were less than or equal to 84 inches, is

P(Z\leq 1.6)=0.9452=94.52\%\approx 94.5\%

Therefore, the remaining 100-94.5=5.5% were more than 84 inches.

4 0
3 years ago
6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t
Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

1.x+0.y=0\\x=0

and

0.x+1.y=0\\y=0

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

1.x+0.y=0\\\x=0

and

0.x+1.y=0\\y=0

Vector form is

\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0
3 years ago
Round the decimal number to the nearest hundredth 56192
ira [324]

Answer:

0.5600

Step-by-step explanation:

The thousandths place is lower than 5 so then you round down to the nearest ten.

3 0
3 years ago
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